Question: You are manufacturing a particular item. After t years, the rate at which you earn a profit on the item is(2-0.1t) thousand dollars per year. (A negative profit represents a loss.) Interest is 10%, compounded continuously,
(a) Write a Riemann sum approximating the present value of the total profit earned up to a time M years in the future.
(b) Write an integral representing the present value in part (a). (You need not evaluate this integral.)
(c) For what M is the present value of the stream of profits on this item maximized? What is the present value of the total profit earned up to that time?